Group in which every pronormal subgroup is normal

This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
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VIEW RELATED: Group property implications | Group property non-implications |Group metaproperty satisfactions | Group metaproperty dissatisfactions | Group property satisfactions | Group property dissatisfactions

Definition

Symbol-free definition

A group in which every pronormal subgroup is normal is a group with the property that any pronormal subgroup of the group is a normal subgroup.

Relation with other properties

Stronger properties

• Nilpotent group
• Group in which every subgroup is subnormal
• Group satisfying normalizer condition
• Group with no proper abnormal subgroup